The Geometrical Representation and Its Computability

Now that we have elaborated in the previous chapters all relevant ingredients of the geometrical representation, our next task will be to pay attention to the processes in action. In order to visualize them, several arbitrary delimiting choices were made (see Sect. 5.1) and some problems of predicting the context sensitive expansions had to be faced (see Sect. 5.2), in order to keep the task workable of writing a computer program that simulates the expansion processes (see Sect. 5.3). The emphasis of the present chapter is on the impossibility to correctly compute and program these expansion processes (see Sect. 5.4), unlike the software program that simulates them, and unlike cellular automata (see Sect. 5.5).